What are ALL the solutions to the equation on [0,2π)?

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What are ALL the solutions to the equation on [0,2π)?

csc(3x)=−2√3/3

Guest Mar 16, 2020

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4⁺⁰ Answers

+36914

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csc is 1/sin in quadrant III and IV sin is negative, so there should be two answers'

1/sin = -2 sqrt3/3

sin = 1/(-2 sqrt3/3)

arcsin = -60 degrees and 240 degrees or 240 and 300 degrees or 4pi/3 and 5pi/3 this is 3x

divide the answers by 3 4pi/9 5pi/9 (edited)

ElectricPavlov Mar 16, 2020

edited by ElectricPavlov Mar 16, 2020
edited by ElectricPavlov Mar 16, 2020

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What if all the solutions have 9,18,or 6 as a denominator?

Guest Mar 16, 2020

+36914

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See original answer above...I edited it .....

ElectricPavlov Mar 16, 2020

edited by ElectricPavlov Mar 16, 2020

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The choices are π/18,π/9,π/6,2π/9,7π/18,4π/9,5π/9,10π/9,11π/9,16π/9,17π/9

Guest Mar 16, 2020

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